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<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM7">RightMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="rmod_2.html#M1" target="_self">Submodule</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">w</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/>









<b>assume </b><a NAME="E1:16"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">w</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font>
 ;<br/>

<a NAME="E2:16"/>
(  <a href="rlvect_1.html#K5">-</a> <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font> <a href="vectsp_2.html#K6">*</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">R</font></span>)</span></span>)</span> &amp;  <a href="rlvect_1.html#K5">-</a> <font color="Maroon">w</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font> <a href="vectsp_2.html#K6">*</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">R</font></span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="mod_1.html#T37">MOD_1:37</a></i>;<br/>
<b>hence </b><a NAME="E3:16"/>
 <a href="rlvect_1.html#K5">-</a> <font color="Maroon">v</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <font color="Maroon">w</font>
 <b>by </b><i>, </i>;<br/>


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